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Finding the Third Proportional to 8,649 and 18,480

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Solution

The third proportional to 8,649 and 18,480 is: 39,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649 : 18,480 = 18,480 : x
  2. Step 2: Convert to fraction form
    8,649/18,480 = 18,480/x
  3. Step 3: Cross multiply
    8,649x = 18,480 × 18,480
  4. Step 4: Simplify right side
    8,649x = 341,510,400
  5. Step 5: Solve for x
    x = 341,510,400/8,649
  6. Step 6: Final answer
    x = 39,485.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.